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Finding the Fourth Proportional to 32,419, 44,738.22 and 17,515

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Solution

The fourth proportional to 32,419, 44,738.22 and 17,515 is: 24,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419 : 44,738.22 = 17,515 : x
  2. Step 2: Convert to fraction form
    32,419/44,738.22 = 17,515/x
  3. Step 3: Cross multiply
    32,419x = 44,738.22 × 17,515
  4. Step 4: Simplify right side
    32,419x = 783,589,923.30
  5. Step 5: Solve for x
    x = 783,589,923.30/32,419
  6. Step 6: Final answer
    x = 24,170.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.